Small World Network of Athletes: Graph Representation of the World Professional Tennis Player

Situngkir, Hokky (2007) Small World Network of Athletes: Graph Representation of the World Professional Tennis Player. [Departmental Technical Report]

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The paper proposes an alternative way to observe and extract the multiple matches games of sports, i.e.: tennis tournament in the Athlete’s Historical Relative Performance Index and its representation as graph. The finding of the small world topology is elaborated along with further statistical patterns in the fashion of the weighted and directed network. The explanation of the sport tournament system as a highly optimized system is hypothetically proposed. Finally, some elaborations regarding to further directions of the usability of the proposed methodology is discussed.

Item Type:Departmental Technical Report
Keywords:small-world network, sports and tournaments, historical relative performance index of athletes.
Subjects:Computer Science > Statistical Models
Computer Science > Dynamical Systems
Computer Science > Complexity Theory
Psychology > Social Psychology > Social simulation
Psychology > Social Psychology
ID Code:5621
Deposited By: Situngkir, Mr Hokky
Deposited On:28 Jul 2007
Last Modified:11 Mar 2011 08:56

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

Albert, R. & Barabási. A-L. (2002). “Statistical Mechanics of Complex Networks”. Rev. Mod. Phys. 74: 47-97.

Albert, R., Jeong, H., Barabasi, A-L. (1999). "Diameter of the World Wide Web". Nature 401: 130-1.

Almaas, E. & Barabási, A-L. (2006). "The Architecture of Complexity: From WWW to Cellular Metabolism". in Skjeltorp, A. T. & Belushkin, A. V. (eds.). Dynamics of Complex Interconnected Systems: Networks and Bioprocesses. p.107-25. Springer.

Alon, U., Surette, M. G., Barkai, N., & Leibler, S. (1999). "Robustness in Bacterial Chemotaxis". Nature 397: 168-171.

Amaral, L. A. N., Scala, A., Barthélémy, M., & Stanley, H. E. (2000). “Classes of Small-world Networks”. PNAS 97 (21): 11149-52.

Bak, P. (1996). How Nature Works. Springer-Verlag.

Barabási, A-L. (2003). Linked: How Everything is Connected to Everything Else and What It Means for Bussiness, Science, and Everyday Life. Plume.

Barabási, A-L. & Albert, R. (1999). “Emergence of Scaling in Random Networks”. Science 286: 509-11.

Barthélemy, M., Barrat, A., Pastor-Satoras, R., Vespignani, A. (2005). “Characterization and Modeling of Weighted Networks”. Physica A 346: 34-43.

Broder, A., Kumar, R., Maghoul, F., Raghavan, P., Rajagopalan, S., Stata, R., Tomkins, A., & Wiener, J. (2000). “Graph Structure in the Web”. Comp. Net. 33: 309-20.

Cancho. R. F., Solé, R. V. (2001). “The Small World of Human Language”. Proc. R. Soc. Land. B 268: 2261-5.

Coakley, J. (1999). Inside Sports. Routledge.

Dunne, J. A., Williams, R. J., Martinez, N. D. (2002). "Food-web Structure and Network Theory: the Role of Connectance and Size". PNAS 99: 12917-22.

Fell, D. A. & Wagner, A. (2000). "The Small World of Metabolism". Nature Biotechnology 18: 1121-2.

Jeźewski, W. (2004). “Scaling in Weighted Networks and Complex Systems”. Physica A 337: 336-56.

Khanafiah, D. & Situngkir, H. (2006). "Visualizing the Phylomemetic Tree: Innovation as Evolutionary Process". Journal of Social Complexity 2(2): 20-30.

Khanafiah, D., Mauludy, R., & Situngkir. H. (2007). “Historical Relative Performance Index over Interconnectedness of Badminton Athletes”. BFI Working Paper Series WPN2007.

Li, W. & Cai, X. (2007). "Empirical Analysis of a Scale-Free Railway Network in China". Physica A 382: 693-703.

Liljeros, F., Edling, C. R., Amaral, L. A. N., Stanley, H. E., & Åberg, Y. (2001). “The Web of Human Sexual Contact”. Nature 411: 907-8.

Newman, M. E. J. (2001). “The Structure of Scientific Collaboration Networks”. PNAS 98 (2): 404-9.

Newman, M. E. J., Strogatz, S. H., Watts, D. J. (2001). “Random Graphs with Arbitrary Degree Distributions and their Applications”. Phys. Rev. E 64: 269-85.

Park, J. & Newman, M. E. J. (2004). “The Statistical Mechanics of Networks”. Phys. Rev. E 70 066117.

Situngkir, H. & Surya, Y. (2004). "The Political Robustness in Indonesia". BFI Working Paper Series WPM2004.

Situngkir, H. & Surya, Y. (2005). "On Stock Market Dynamics through Ultrametricity of Minimum Spanning Tree". BFI Working Paper Series WPH2005.

Watts, D. J.; Strogatz, S. H. (1998). "Collective dynamics of 'small-world' networks". Nature 393: 440-442.

Wu, Z-X., Xu, X-J., & Wang, Y-H. (2005). "Properties of Weighted Structured Scale-Free Networks". Eur. Phys. J. B. 45: 385-390.

Yook, S.-H., Jeong, H., Barabási, A.-L. & Tu, Y. (2001). Weighted evolving networks. Phys. Rev. Lett., 86: 5835-38.


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